"Please show the answers with steps and written formulas applied".

Question 4 (25 marks) (a) You have just taken out a loan that you need to pay off 18 months from now with a single payment. You plan to make two equal deposits of $100,000 each into a return-guaranteed investment account that will ensure you to have the exact amount to pay off the loan. The first deposit will be made today while the second payment eight months from now. The account earns a monthly interest rate of 1%. (i) What is the size of the loan that you have taken? (3 marks) (ii) Calculate the total amount of interests that you have paid for this loan. (4 marks) (iii) Continued from part (i). Now suppose the loan repayment arrangement allows you to pay off the loan by monthly instalments (instead of a single payment in 18 months). Determine the size of the payments if the first payment is to be made today (i.e., at the beginning of each month). (4 marks) (b) Kelensky, an analyst in the treasury department of KrainWin Inc., is updating the firm's cost of capital. The firm's current capital structure, considered optimal from a firm-value maximization perspective, is as follows: Debt Preferred stock Common equity Market Value $8 billion $2 billion $20 billion Given the current financial and economic conditions of the firm and the market, financing costs of various securities are summarized as follows: 1) Debt can be issued at an YTM of 14%. 2) Preferred stock with a $100 par and a dividend rate of 12 percent can be sold at $96 per share. 3) Common stock has a beta of 1.4. KrainWin's tax rate is 40%. The risk-free rate is 8% and market risk premium (RPM) = 5%. (i) Calculate the after-tax cost of debt, cost of preferred stock and cost of equity of Krain Win. (7 marks) (ii) Calculate the cost of capital of KrainWin Inc.? (4 marks) (iii) KrainWin is considering investing in a new project based on the NPV decision rule. If the new project is assessed to be carrying a higher risk than the average risk of the firm's existing projects, what would happen to the estimated NPV value and hence the firm's value if Krain Win's WACC is used as the project's cost of capital? Explain